View Reference Coordinate System

Asked Jun 06 '16 at 18:10

Active Jun 06 '16 at 18:10

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For a 3D scene in the World Coordinates, its View Reference Point is at c=(0,3,4), and a viewer is looking towards its origin O (0,0,0). Construct a transform matrix which will map World Coordinate points to a right-handed (UVN) viewing space, so that c is the origin, the line joining c to O is the positive N axis, and the View-Up Vector is (0,0,1).

My Attempt

VRP = (0,3,4)

VUP = (0,0,1)

VPN = (0,0,0,) - c = (0,-3,-4)

n = VPN / |VPN| = (0,-0.6,-0.8)

Stuck Here

u = (n x VUP) / |(n x VUP)| =

I'm confused how we would solve u now?

After we have found u, I can just find v easy and then sub those values into the relevant matrices

asked Jun 06 '16 at 18:10

TheRapture87

This looks like a homework problem. Is this a homework problem? – mHurley Jun 06 '16 at 20:00
2

@mHurley Question from an exam paper – TheRapture87 Jun 06 '16 at 20:20
What exactly don't you understand? You have n and you have VUP. And you have the formula for u. Just plug in the values. The x stands for the cross product which you can lookup if that makes you trouble. And the | | means length. / should be clear as division. – Dragonseel Jun 07 '16 at 00:29
Should this be on Math.stackexchange ? – Jun 07 '16 at 03:36
2

@ritwiksinha questions can be on topic on more than one site. – trichoplax is on Codidact now Jun 07 '16 at 08:47
You have the answer, you have solved for u, after you have that n x u = v – user1095108 Jun 10 '19 at 23:29

View Reference Coordinate System

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